Question

each diagonal of square is 12 cm. its area ​

Answer 1

Step-by-step explanation:

area of the square is 1/2 of d^2

1/2×12×12=72cm^2

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Answer 2

Answer:-

The diagonal of the square divides the square into 2 right angles

Let the base of the triangle be x, then using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

The hypotenuse of the triangle is the diagonal, thus

x² + x² = 12²

2x² = 144 ( divide both sides by 2 )

x² = 72 ( take the square root of both sides )

x = $\sqrt{72}$

The area of the square =

x² = ($\sqrt{72}$)²= 72cm²

Answer:- 72cm²

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